Question

Of the students in certain homeroom, 9 are in the school play, 12 are in the orchestra, and 15 are in the choral group. If 5 students participate in exactly 2 of the 3 activities and all other students participate in only 1 activity, how many students are in the homeroom?

Answer 1

Total number of students participating in an activity = 9 + 12 + 15
The 5 students who participate in 2 activities are double-counted in this total. Therefore the number of students in the homeroom can be found by subtracting 5 from the total number of students participating in an activity.

Answer 2

so is it 31?

Answer 3

(9+12+15)=36

Answer 4

Yes, 31 students is correct.

Answer 5

Got it. Thank You very much

Answer 6

You're welcome :)